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Finding the Fourth Proportional to 83,581.60, 125,380.50 and 24,415.96

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Solution

The fourth proportional to 83,581.60, 125,380.50 and 24,415.96 is: 36,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,581.60 : 125,380.50 = 24,415.96 : x
  2. Step 2: Convert to fraction form
    83,581.60/125,380.50 = 24,415.96/x
  3. Step 3: Cross multiply
    83,581.60x = 125,380.50 × 24,415.96
  4. Step 4: Simplify right side
    83,581.60x = 3,061,285,272.78
  5. Step 5: Solve for x
    x = 3,061,285,272.78/83,581.60
  6. Step 6: Final answer
    x = 36,626.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.